논문KCI 등재
ON A NONVANISHING OF PLURIGENUS OF A THREEFOLD OF GENERAL TYPE
대한수학회 (The Korean Mathematical Society)|2010.04|대한수학회논문집 (Communications of the KMS)|제25권 제2호|pp. 161-165
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초록
Even though there is a formula for h0(X,OX(nKX)) for a canonical threefold X, it is not easy to compute h0(X,OX(nKX)) because the formula has a term due to singularities. In this paper, we find a way to control the term due to singularities. We show nonvanishing of plurigenus for the case when the index r in the singularity type 1/r (1,−1, b)is sufficiently large.
Abstract
Even though there is a formula for h0(X,OX(nKX)) for a canonical threefold X, it is not easy to compute h0(X,OX(nKX)) because the formula has a term due to singularities. In this paper, we find a way to control the term due to singularities. We show nonvanishing of plurigenus for the case when the index r in the singularity type 1/r (1,−1, b)is sufficiently large.
참고문헌 (3)
- A. R. Fletcher, "Contributions to Riemann-Roch on projective 3-folds with only canonical singularities and applications, Algebraic geometry", Proc. Sympos. Pure Math., 통권 : 46, pp.221~231 (1985), Amer. Math. Soc.
- M. Reid, "Young person’s guide to canonical singularities, Algebraic geometry", Proc. Sympos. Pure Math., 통권 : 46, pp.345~414 (1985), Amer. Math. Soc.
- D.-K. Shin, "On a computation of plurigenera of a canonical threefold", J. Algebra, 309(2), pp.559~568 (2007)
관련 논문AI추천
ON THE PLURIGENUS OF A CANONICAL THREEFOLD신동관대한수학회 · 대한수학회논문집2012 · 제27권 제1호On a computation of plurigenus of a canonical threefold신동관대한수학회 · 대한수학회보2016 · 제53권 제1호Nonvanishing of a plurigenus of a threefold of general typeDong-Kwan Shin대한수학회 · 대한수학회논문집2003 · 제18권 제4호A characterization of the vanishing of the second plurigenus for normal surface singularitiesKoukichi Wada대한수학회 · 대한수학회보2008 · 제45권 제2호On three-dimensional semi-terminal singularitiesKento Fujita대한수학회 · 대한수학회보2017 · 제54권 제5호Factorial nodal complete intersection 3-folds in P^5홍규식한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제2호
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